Functional equations with applications in image security system

Abstract

This paper deals with the investigation of general solution and stabilities of the generalized m$$ m $$-cubic, m$$ m $$-quartic functional equations in modular spaces using fixed point method. The main purpose of this research is not limited to introducing generalized functional equations and investigating its stability but to propose a new method in image security system for our main focusing on the new results encryption and decryption using our introduced functional equation.